vector space

1 definition found

vector space - Free On-line Dictionary of Computing (26 May 2007) :

  vector space
  
     <mathematics> An additive group on which some (scalar)
     field has an associative multiplicative action which
     distributes over the addition of the vector space and respects
     the addition of the (scalar) field: for vectors u, v and
     scalars h, k; h(u+v) = hu + hv; (h+k)u = hu + ku; (hk)u =
     h(ku).
  
     [Simple example?]
  
     (1996-09-30)